4-dimensional (para)-K\"ahler--Weyl structures
Differential Geometry
2012-10-26 v1
Abstract
We give an elementary proof of the fact that any 4-dimensional para-Hermitian manifold admits a unique para-Kaehler--Weyl structure. We then use analytic continuation to pass from the para-complex to the complex setting and thereby show any 4-dimensional pseudo-Hermitian manifold also admits a unique Kaehler--Weyl structure.
Cite
@article{arxiv.1210.6769,
title = {4-dimensional (para)-K\"ahler--Weyl structures},
author = {Peter Gilkey and Stana Nikcevic},
journal= {arXiv preprint arXiv:1210.6769},
year = {2012}
}